Question

The equations xy/x+y=19 and xy/x−y=14 are equivalent to the equations: (a) + = 9; + = 4; (b) + = 10; + = 3; (c) + = 7; + = 2; (d) + = 9; + = 4;​

Answer 1

Given : The equations xy/x+y=19 and xy/x−y=14  

To Find :  value of x and y

Solution:

xy/x+y=19

=> (x + y)/xy  = 1/19

=> 1/y + 1/x  = 1/19    Eq1

xy/x−y=14  

=> (x -y)/xy  = 1/14

=> 1/y  - 1/x  = 1/14    Eq2

Add both the equation

2/y   = 1/19 + 1/14

=> 2/y  = 33/266

=> y = 532/33

Eq1  - Eq2

=> 2/x = 1/19   - 1/14

=> 2/x  = -5/266

=> x  = -532/5

Learn More:

Solve the following x+y/xy=5 and x-5/xy=7 - Brainly.in

brainly.in/question/8168066

solve for x and y : x+y/xy=2,xy/=6

brainly.in/question/12892518